164653301840 has 80 divisors (see below), whose sum is σ = 387021635280. Its totient is φ = 65139179520.

The previous prime is 164653301821. The next prime is 164653301849. The reversal of 164653301840 is 48103356461.

It can be written as a sum of positive squares in 8 ways, for example, as 18909550144 + 145743751696 = 137512^2 + 381764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×164653301840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164653301849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13348796 + ... + 13361124.

It is an arithmetic number, because the mean of its divisors is an integer number (4837770441).

Almost surely, 2^164653301840 is an apocalyptic number.

164653301840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164653301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193510817640).

164653301840 is an abundant number, since it is smaller than the sum of its proper divisors (222368333440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164653301840 is a wasteful number, since it uses less digits than its factorization.

164653301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14160 (or 14154 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 164653301840 in words is "one hundred sixty-four billion, six hundred fifty-three million, three hundred one thousand, eight hundred forty".